Illustrative Mathematics - Geometry - Mathematics - Unit 1 - Lesson 22 - Formative Library | Library

1.

This design began from the construction of a regular hexagon. Name 2 pairs of congruent figures.

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2.

This design began from the construction of a regular hexagon. Describe a rigid motion that will take the figure to itself.

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3.

Noah starts with triangle ABC and makes 2 new triangles by translating B to A and by translating B to C. Noah thinks that triangle DCA is congruent to triangle BAC. Do you agree with Noah?

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4.

In the image, triangle ABC is congruent to triangle BAD and triangle CEA. What are the measures of the 3 angles in triangle? Show or explain your reasoning.

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5.

In the figure shown, angle 3 is congrent to angle 6. Select all statements that must be true.

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6.

In this diagram, point M is the midpoint of segment AC and B' is the image of B by a rotation of 180° around M.
Explain why rotating 180° using center M takes A to C.
Explain why angles BAC and B'CA have the same measure.

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7.

Lines AB and BC are perpendicular. The dashed rays bisect angles ABD and CBD.

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8.

Lines AD and EC meet at point B.
Give an example of a rotation using an angle greater than 0 degrees and less than 360 degrees, that takes both lines to themselves. Explain why your rotation works.

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9.

Draw the image of triangle ABC after this sequence of rigid transformations.

Reflect across line segment AB.
Translate by directed line segment u.

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10.

Draw the image of figure CAST after a clockwise rotation around point T using angle CAS and then a translation by directed line segment AS.
Describe another sequence of transformations that will result in the same image.

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G.CO.12

G.CO.13

This lesson is from Illustrative Mathematics. Geometry, Unit 1, Lesson 22. Internet. Available from https://curriculum.illustrativemathematics.org/HS/teachers/2/1/22/index.html ; accessed 29/July/2021.

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Illustrative Mathematics - Geometry - Mathematics - Unit 1 - Lesson 22

This design began from the construction of a regular hexagon. Name 2 pairs of congruent figures.

This design began from the construction of a regular hexagon. Describe a rigid motion that will take the figure to itself.

Noah starts with triangle ABC and makes 2 new triangles by translating B to A and by translating B to C. Noah thinks that triangle DCA is congruent to triangle BAC. Do you agree with Noah?

In the image, triangle ABC is congruent to triangle BAD and triangle CEA. What are the measures of the 3 angles in triangle? Show or explain your reasoning.

In the figure shown, angle 3 is congrent to angle 6. Select all statements that must be true.

In this diagram, point M is the midpoint of segment AC and B' is the image of B by a rotation of 180° around M.Explain why rotating 180° using center M takes A to C.Explain why angles BAC and B'CA have the same measure.

Lines AB and BC are perpendicular. The dashed rays bisect angles ABD and CBD.

Lines AD and EC meet at point B.Give an example of a rotation using an angle greater than 0 degrees and less than 360 degrees, that takes both lines to themselves. Explain why your rotation works.

Draw the image of triangle ABC after this sequence of rigid transformations.Reflect across line segment AB.Translate by directed line segment u.

Draw the image of figure CAST after a clockwise rotation around point T using angle CAS and then a translation by directed line segment AS.Describe another sequence of transformations that will result in the same image.

In this diagram, point M is the midpoint of segment AC and B' is the image of B by a rotation of 180° around M.
Explain why rotating 180° using center M takes A to C.
Explain why angles BAC and B'CA have the same measure.

Lines AD and EC meet at point B.
Give an example of a rotation using an angle greater than 0 degrees and less than 360 degrees, that takes both lines to themselves. Explain why your rotation works.

Draw the image of triangle ABC after this sequence of rigid transformations.

Reflect across line segment AB.
Translate by directed line segment u.

Draw the image of figure CAST after a clockwise rotation around point T using angle CAS and then a translation by directed line segment AS.
Describe another sequence of transformations that will result in the same image.